SOLUTION: solving equations and inequalities x+1/3X-1 + 2X+1/3X-2 = -1

Question 644366: solving equations and inequalities
x+1/3X-1 + 2X+1/3X-2 = -1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solving equations and inequalities
x+1/3X-1 + 2X+1/3X-2 = -1
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Multiply thru by (3X-1)(3X-2) to get:
(x+1)(3x-2) + (2x+1)(3x-1) = -(3x-1)(3x-2)
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3x^2 +x -2 + 6x^2 +x -1 = -9x^2 + 9x -2
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9x^2 + 2x -3 = -9x^2 + 9x -2
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18x^2 - 7x -1 = 0
18x^2 -9x+2x -1 = 0
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9x(2x-1) + (2x-1) = 0
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(2x-1)(9x+1) = 0
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x = 1/2 or x = -1/9
==========================
Cheers,
Stan H.
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